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Popular >

factor 64-(2x+3)^3

Solution

factor

64 - (2 x + 3)^{3}

Solution

- (2 x - 1) (4 x^{2} + 20 x + 37)

Solution steps

64 - (2 x + 3)^{3}

Factor out common term

- 1

= - ((2 x + 3)^{3} - 64)

Factor

(2 x + 3)^{3} - 64 : ((2 x + 3) - 4) ((2 x + 3)^{2} + 4 (2 x + 3) + 4^{2})

= - ((2 x + 3) - 4) ((2 x + 3)^{2} + 4 (2 x + 3) + 4^{2})

Refine

= - (2 x - 1) ((2 x + 3)^{2} + 4 (2 x + 3) + 16)

Expand

(2 x + 3)^{2} + 4 (2 x + 3) + 16 : 4 x^{2} + 20 x + 37

= - (2 x - 1) (4 x^{2} + 20 x + 37)

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Frequently Asked Questions (FAQ)

What is factor 64-(2x+3)^3 ?
The solution to factor 64-(2x+3)^3 is -(2x-1)(4x^2+20x+37)